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Finding the Fourth Proportional to 21,650.65, 32,477.12 and 6,858.43

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Solution

The fourth proportional to 21,650.65, 32,477.12 and 6,858.43 is: 10,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,650.65 : 32,477.12 = 6,858.43 : x
  2. Step 2: Convert to fraction form
    21,650.65/32,477.12 = 6,858.43/x
  3. Step 3: Cross multiply
    21,650.65x = 32,477.12 × 6,858.43
  4. Step 4: Simplify right side
    21,650.65x = 222,742,054.12
  5. Step 5: Solve for x
    x = 222,742,054.12/21,650.65
  6. Step 6: Final answer
    x = 10,288.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.